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Finding the Fourth Proportional to 6,382.60, 9,574.80 and 1,999.60

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Solution

The fourth proportional to 6,382.60, 9,574.80 and 1,999.60 is: 2,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.60 : 9,574.80 = 1,999.60 : x
  2. Step 2: Convert to fraction form
    6,382.60/9,574.80 = 1,999.60/x
  3. Step 3: Cross multiply
    6,382.60x = 9,574.80 × 1,999.60
  4. Step 4: Simplify right side
    6,382.60x = 19,145,770.08
  5. Step 5: Solve for x
    x = 19,145,770.08/6,382.60
  6. Step 6: Final answer
    x = 2,999.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.